Rekenen met wortels (reeks 5)

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Maak de noemer wortelvrij

1. \(\frac{36}{\sqrt{13}}\)
2. \(\frac{14}{\sqrt{10}}\)
3. \(\frac{43}{\sqrt{19}}\)
4. \(\frac{33}{\sqrt{10}}\)
5. \(\frac{17}{\sqrt{14}}\)
6. \(\frac{60}{\sqrt{17}}\)
7. \(\frac{39}{\sqrt{10}}\)
8. \(\frac{45}{\sqrt{13}}\)
9. \(\frac{59}{\sqrt{14}}\)
10. \(\frac{7}{\sqrt{15}}\)
11. \(\frac{33}{\sqrt{13}}\)
12. \(\frac{10}{\sqrt{11}}\)

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Maak de noemer wortelvrij

Verbetersleutel

1. \(\frac{36}{\sqrt{13}}=\frac{36\cdot \color{red}{\sqrt{13}} }{\sqrt{13}\cdot \color{red}{\sqrt{13}} }=\frac{36\cdot\sqrt{13}}{13}\)
2. \(\frac{14}{\sqrt{10}}=\frac{14\cdot \color{red}{\sqrt{10}} }{\sqrt{10}\cdot \color{red}{\sqrt{10}} }=\frac{14\cdot\sqrt{10}}{10}=\frac{7\cdot\sqrt{10}}{5}\)
3. \(\frac{43}{\sqrt{19}}=\frac{43\cdot \color{red}{\sqrt{19}} }{\sqrt{19}\cdot \color{red}{\sqrt{19}} }=\frac{43\cdot\sqrt{19}}{19}\)
4. \(\frac{33}{\sqrt{10}}=\frac{33\cdot \color{red}{\sqrt{10}} }{\sqrt{10}\cdot \color{red}{\sqrt{10}} }=\frac{33\cdot\sqrt{10}}{10}\)
5. \(\frac{17}{\sqrt{14}}=\frac{17\cdot \color{red}{\sqrt{14}} }{\sqrt{14}\cdot \color{red}{\sqrt{14}} }=\frac{17\cdot\sqrt{14}}{14}\)
6. \(\frac{60}{\sqrt{17}}=\frac{60\cdot \color{red}{\sqrt{17}} }{\sqrt{17}\cdot \color{red}{\sqrt{17}} }=\frac{60\cdot\sqrt{17}}{17}\)
7. \(\frac{39}{\sqrt{10}}=\frac{39\cdot \color{red}{\sqrt{10}} }{\sqrt{10}\cdot \color{red}{\sqrt{10}} }=\frac{39\cdot\sqrt{10}}{10}\)
8. \(\frac{45}{\sqrt{13}}=\frac{45\cdot \color{red}{\sqrt{13}} }{\sqrt{13}\cdot \color{red}{\sqrt{13}} }=\frac{45\cdot\sqrt{13}}{13}\)
9. \(\frac{59}{\sqrt{14}}=\frac{59\cdot \color{red}{\sqrt{14}} }{\sqrt{14}\cdot \color{red}{\sqrt{14}} }=\frac{59\cdot\sqrt{14}}{14}\)
10. \(\frac{7}{\sqrt{15}}=\frac{7\cdot \color{red}{\sqrt{15}} }{\sqrt{15}\cdot \color{red}{\sqrt{15}} }=\frac{7\cdot\sqrt{15}}{15}\)
11. \(\frac{33}{\sqrt{13}}=\frac{33\cdot \color{red}{\sqrt{13}} }{\sqrt{13}\cdot \color{red}{\sqrt{13}} }=\frac{33\cdot\sqrt{13}}{13}\)
12. \(\frac{10}{\sqrt{11}}=\frac{10\cdot \color{red}{\sqrt{11}} }{\sqrt{11}\cdot \color{red}{\sqrt{11}} }=\frac{10\cdot\sqrt{11}}{11}\)